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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 302 · 40 questions
TalentJR

The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.

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  1. 1.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  2. 2.A rectangular field is 10 m long and 8 m wide. What is its area (in sq m)?
  3. 3.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  4. 4.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 16 m long and 9 m wide. What is its area (in sq m)?
  6. 6.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  8. 8.A park is 59 m long and 12 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  9. 9.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A garden is 29 m long and 28 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  12. 12.A garden is 16 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  13. 13.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  14. 14.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  15. 15.A rectangular field is 38 m long and 23 m wide. What is its area (in sq m)?
  16. 16.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  17. 17.A rectangular field is 35 m long and 26 m wide. What is its area (in sq m)?
  18. 18.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
  19. 19.A rectangular field is 15 m long and 13 m wide. What is its area (in sq m)?
  20. 20.A park is 19 m long and 9 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  21. 21.A garden is 15 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  22. 22.A park is 21 m long and 5 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A park is 12 m long and 6 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  25. 25.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  27. 27.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  28. 28.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  30. 30.A garden is 37 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.A triangle has a base of 30 cm and a height of 17 cm. What is its area (in sq cm)?
  32. 32.A garden is 14 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  33. 33.A rectangular field is 37 m long and 25 m wide. What is its area (in sq m)?
  34. 34.A park is 10 m long and 6 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  36. 36.A park is 47 m long and 39 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A park is 18 m long and 13 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A park is 57 m long and 12 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  40. 40.A triangle has a base of 23 cm and a height of 24 cm. What is its area (in sq cm)?

Answer key

  1. 1386
  2. 80
  3. 616
  4. 34
  5. 144
  6. 30
  7. 729
  8. 852
  9. 264
  10. 88
  11. 118
  12. 222
  13. 625
  14. 2464
  15. 874
  16. 676
  17. 910
  18. 96
  19. 195
  20. 504
  21. 56
  22. 624
  23. 1188
  24. 154
  25. 220
  26. 20
  27. 88
  28. 40
  29. 576
  30. 98
  31. 255
  32. 156
  33. 925
  34. 608
  35. 220
  36. 3096
  37. 2046
  38. 2346
  39. 324
  40. 276

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